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Finding the Fourth Proportional to 4,699.14, 7,049.73 and 4,010.58

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Solution

The fourth proportional to 4,699.14, 7,049.73 and 4,010.58 is: 6,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.14 : 7,049.73 = 4,010.58 : x
  2. Step 2: Convert to fraction form
    4,699.14/7,049.73 = 4,010.58/x
  3. Step 3: Cross multiply
    4,699.14x = 7,049.73 × 4,010.58
  4. Step 4: Simplify right side
    4,699.14x = 28,273,506.14
  5. Step 5: Solve for x
    x = 28,273,506.14/4,699.14
  6. Step 6: Final answer
    x = 6,016.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.